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Finding the Fourth Proportional to 17,639.60, 26,437.80 and 7,768.40

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Solution

The fourth proportional to 17,639.60, 26,437.80 and 7,768.40 is: 11,643.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,639.60 : 26,437.80 = 7,768.40 : x
  2. Step 2: Convert to fraction form
    17,639.60/26,437.80 = 7,768.40/x
  3. Step 3: Cross multiply
    17,639.60x = 26,437.80 × 7,768.40
  4. Step 4: Simplify right side
    17,639.60x = 205,379,405.52
  5. Step 5: Solve for x
    x = 205,379,405.52/17,639.60
  6. Step 6: Final answer
    x = 11,643.09

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.